# College Mathematics

College math problems including logical connective, truth tables, and algebra.

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1. Write the negation of the statement: No one likes asparagus.

2. Determine the truth value of the statement

3. Determine whether the argument is valid or invalid. You may compare the argument to a standard form. Also construct a truth table.

1. Use the figure to find the following:

2. (a) Use the Pythagorean theorem to determine the length of the unknown side of the triangle, (b) determine the perimeter of the triangle, and (c) determine the area of the triangle.

3. Determine (a) the area and (b) the perimeter of the figure.

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Week 3

1. Write the negation of the statement.

No one likes asparagus.

The negation of a statement is the opposite. So here, the negation of "No one likes asparagus" is

NOT(no one likes asparagus)

This would translate to "Someone (one or more people) likes asparagus".

ANSWER: Someone likes asparagus.

2. Determine the truth value of the statement if

? a)p is true, q is false, and r is true.

? b)p is false, q is true, and r is true.

?

V means "or", ^ means "and", and ~ means "not"

A) p is true, q is false, r is true

not(F) or (T and T)

T or T

T

ANSWER: true

B) p is false, q is true, r is true

not(T) or (T and F)

F or F

F

ANSWER: false

3. Determine whether the argument is valid or invalid. You may compare the argument to a standard form. Also construct a truth table.

An argument in standard form starts with premises, then finishes with a conclusion. If an argument is valid, and its premises are true, ...

#### Solution Summary

The solution answers college math problems including logical connective, truth tables and algebra.